Question

The cost varies directly with the number of tickets purchased. It costs $145 for 10 people to attend a concert.

A. What is the constant of proportionality (k)?

B. Write the direct variation equation.

C. Home much does it cost for 8 people?

D. Graph this situation. Be sure to label each axis and give the graph a title.

Answer 1

(a)

`k=14.5`

(b)

`C=14.5x`

(c)

the cost of 8 people is $116

(d)

Graph is attached

Explanation:

we are given

It costs $145 for 10 people to attend a concert

(a)

Number of people =10

Total cost =145

now, we can find constant proportionality

k= ( total cost)/(number of people)

`k=(145)/(10)`

`k=14.5`

(b)

Let's assume

cost is C

number of people as x

so, we can set equation as

`C=kx`

now, we can plug value

`C=14.5x`

(c)

we can plug x=8

`C=14.5* 8`

C=116

So,

the cost of 8 people is $116

(d)

we can draw graph